Example Calculation

To make this logic more real, let’s look at an example calculation:
Pool supply:
$2000 equivalent
Pool demand:
10 x Starters $200 worth of USDC buy-in
1 x Starter $100 worth of USDC buy-in
1 x Investor $500 worth of USDC buy-in
1 x Investor $100 worth of USDC buy-in
Total pool demand:
$2700 equivalent
Pool tiers staking cost relation:
This calculation gets the ratio of the different tiers, based on the minimal threshold for each tier:
$IONs 2000/ $IONs 6000 = 1/3
Investors supply-demand gap:
Here we assess the demand gap for each tier, without allocation of a difference in tier tokens.
$600 — $600 x ($2000/$2700) = $155.6
Investor tier-adjusted supply-demand gap:
By applying the pool tiers staking cost relation with the supply-demand gap, we can calculate the tier-adjusted supply-demand gap.
$155.6 — ($155.6 x 600 000/(200 000 + 600 000)) = $38.9
Investor tier gets:
$600 — $38.9 = $561.1
Investor 1 gets: 500 * $561.1/600 = $467.6 worth of tokens and $32.4 worth of USDC back to his account.
Investor 2 gets: 100 * $561.1/600 = $93.5 worth of token and $6.5 worth of USDC back to his account.
The rest of the pool ($1438.1) is distributed between the remaining tiers. The only remaining tier is Starter, so the remaining supply is divided between them equally.
Starters 1–10 get: 200*$1438.1/2100 = $137.0 worth of token and $63.0 worth of USDC.
Starter 11 gets: 100*$1438.1/2100 = $68.5 worth of token and $31.5 worth of USDC.
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